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An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 04:48

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An ant crawls from one corner of a room to the diagonally opposite corner along the shortest possible path. If the dimensions of the room are 3 x 3 x 3, what distance does the ant cover?

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 05:19

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cyberjadugar wrote:

An ant crawls from one corner of a room to the diagonally opposite corner along the shortest possible path. If the dimensions of the room are 3 x 3 x 3, what distance does the ant cover?

A. \(3\sqrt{2}+3\)

B. \(6\sqrt{2}\)

C. \(3*3^{\frac 13}\)

D. \(3\sqrt{5}\)

E. \(9\)

This is a Physics question LOL

Anyway, for any dimension of a room that has dimensions a, b and c, the length of the shortest path is:

Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure... than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat. - T. Roosevelt

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 05:51

gmatsaga wrote:

cyberjadugar wrote:

An ant crawls from one corner of a room to the diagonally opposite corner along the shortest possible path. If the dimensions of the room are 3 x 3 x 3, what distance does the ant cover?

A. \(3\sqrt{2}+3\)

B. \(6\sqrt{2}\)

C. \(3*3^{\frac 13}\)

D. \(3\sqrt{5}\)

E. \(9\)

This is a Physics question LOL

Anyway, for any dimension of a room that has dimensions a, b and c, the length of the shortest path is:

You are good at googling..! This indeed is a physics problem, but many variants of this problem are asked in various competitive exams. If one can do this, then similar concept can be extended to squares, rectangles or even cylinders.

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 06:08

cyberjadugar wrote:

gmatsaga wrote:

cyberjadugar wrote:

An ant crawls from one corner of a room to the diagonally opposite corner along the shortest possible path. If the dimensions of the room are 3 x 3 x 3, what distance does the ant cover?

A. \(3\sqrt{2}+3\)

B. \(6\sqrt{2}\)

C. \(3*3^{\frac 13}\)

D. \(3\sqrt{5}\)

E. \(9\)

This is a Physics question LOL

Anyway, for any dimension of a room that has dimensions a, b and c, the length of the shortest path is:

You are good at googling..! This indeed is a physics problem, but many variants of this problem are asked in various competitive exams. If one can do this, then similar concept can be extended to squares, rectangles or even cylinders.

Anyways, it is good problem

Regards,

Hehe is that a good thing or a bad thing?

Anyway, this is the first time I encountered such type of question. I can only remember the greatest distance (deluxe Pythagorean theorem). If my memory serves me right we could also use Calculus here. Does the topic multi-variable Calculus ring any bell?
_________________

Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure... than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat. - T. Roosevelt

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 07:25

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Quote:

Hehe is that a good thing or a bad thing?

Anyway, this is the first time I encountered such type of question. I can only remember the greatest distance (deluxe Pythagorean theorem). If my memory serves me right we could also use Calculus here. Does the topic multi-variable Calculus ring any bell?

Hi gmatsaga,

The concept of this question is to open up the surfaces and consider two adjacent surfaces as a plane. (Check the diagram below) Thus, using the classical Pythagoras concept, the hypotenuse (or the shortest distance between two points) would be calculated as: \(\sqrt{(3+3)^2+3^2} = 3\sqrt{5}\)

well talking about calculus, I would only say out of scope!

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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13 Jun 2012, 16:52

cyberjadugar wrote:

Quote:

Hehe is that a good thing or a bad thing?

Anyway, this is the first time I encountered such type of question. I can only remember the greatest distance (deluxe Pythagorean theorem). If my memory serves me right we could also use Calculus here. Does the topic multi-variable Calculus ring any bell?

Hi gmatsaga,

The concept of this question is to open up the surfaces and consider two adjacent surfaces as a plane. (Check the diagram below) Thus, using the classical Pythagoras concept, the hypotenuse (or the shortest distance between two points) would be calculated as: \(\sqrt{(3+3)^2+3^2} = 3\sqrt{5}\)

well talking about calculus, I would only say out of scope!

Regards,

Did I tell you you're good?

AMAZING!!!!!
_________________

Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure... than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat. - T. Roosevelt

Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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Re: An ant crawls from one corner of a room to the diagonally [#permalink]

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